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Finding the Third Proportional to 70,094 and 105,867

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Solution

The third proportional to 70,094 and 105,867 is: 159,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094 : 105,867 = 105,867 : x
  2. Step 2: Convert to fraction form
    70,094/105,867 = 105,867/x
  3. Step 3: Cross multiply
    70,094x = 105,867 × 105,867
  4. Step 4: Simplify right side
    70,094x = 11,207,821,689
  5. Step 5: Solve for x
    x = 11,207,821,689/70,094
  6. Step 6: Final answer
    x = 159,897.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.